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Finding the Fourth Proportional to 7,023.76, 9,693 and 4,039.64

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Solution

The fourth proportional to 7,023.76, 9,693 and 4,039.64 is: 5,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.76 : 9,693 = 4,039.64 : x
  2. Step 2: Convert to fraction form
    7,023.76/9,693 = 4,039.64/x
  3. Step 3: Cross multiply
    7,023.76x = 9,693 × 4,039.64
  4. Step 4: Simplify right side
    7,023.76x = 39,156,230.52
  5. Step 5: Solve for x
    x = 39,156,230.52/7,023.76
  6. Step 6: Final answer
    x = 5,574.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.